74921673600 has 384 divisors, whose sum is σ = 275674543200. Its totient is φ = 19871170560.

The previous prime is 74921673523. The next prime is 74921673647. The reversal of 74921673600 is 637612947.

74921673600 is a `hidden beast` number, since 74 + 9 + 216 + 7 + 360 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×74921673600³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16672954 + ... + 16677446.

Almost surely, 2^74921673600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74921673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137837271600).

74921673600 is an abundant number, since it is smaller than the sum of its proper divisors (200752869600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74921673600 is a wasteful number, since it uses less digits than its factorization.

74921673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4719 (or 4696 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 74921673600 in words is "seventy-four billion, nine hundred twenty-one million, six hundred seventy-three thousand, six hundred".